Question

Marisol is selling snacks at her school’s soccer games to raise money for a service project. She buys nuts in cases that contain 24 bags and granola bars in cases that contain 20 packages. She sells the nuts for $1.25 a bag and the granola bars for $1.75 a package. If she raised $160 and sold 112 items, how many cases of granola bars did Marisol buy?

Answer 1

Answer:

2 cases of granola bars

Explanation:

This is a classic system of equations type question.

24n + 20gb = 112 as she can only buy the items in these quantities and this is how many she bought in total

30n + 35gb = 160 as this is how much money she earns per case

I like to solve using elimination when possible. So we can multiply the first equation by 1.25

30n + 25gb = 140 then subtract this from the second equation

10 gb = 20 then divide by 10

gb = 2